Solve 1b^3003-1 - ScanMath

Question

Simplify the expression

3 b^{3} - 1

Evaluate

1 \times b^{3} \times 3 - 1

Solution

More Steps

Evaluate

1 \times b^{3} \times 3

Rewrite the expression

b^{3} \times 3

Use the commutative property to reorder the terms

3 b^{3}

3 b^{3} - 1

Show Solution

b = \frac{3 9}{3}

Alternative Form

b \approx 0.693361

Evaluate

1 \times b^{3} \times 3 - 1

To find the roots of the expression,set the expression equal to 0

1 \times b^{3} \times 3 - 1 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times b^{3} \times 3

Rewrite the expression

b^{3} \times 3

Use the commutative property to reorder the terms

3 b^{3}

3 b^{3} - 1 = 0

Move the constant to the right-hand side and change its sign

3 b^{3} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

3 b^{3} = 1

Divide both sides

\frac{3 b ^{3}}{3} = \frac{1}{3}

Divide the numbers

b^{3} = \frac{1}{3}

Take the 3 -th root on both sides of the equation

3 b^{3} = 3 \frac{1}{3}

Calculate

b = 3 \frac{1}{3}

Solution

More Steps

Evaluate

3 \frac{1}{3}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 3}

Simplify the radical expression

\frac{1}{3 3}

Multiply by the Conjugate

\frac{3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

\frac{3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

The product of roots with the same index is equal to the root of the product

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 9}{3}

b = \frac{3 9}{3}

Alternative Form

b \approx 0.693361

Show Solution